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671157734404304 = 247237915431463873
BaseRepresentation
bin1001100010011010100001011…
…0010110001111000011010000
310021000101001102111001022222002
42120212220112112033003100
51200432222020001414204
610335233335014133132
7261240355220055200
oct23046502626170320
93230331374038862
10671157734404304
11184940440030584
1263336a473511a8
1322a65b9755b4b4
14bba42c9bba400
15528d54603e91e
hex2626a1658f0d0

671157734404304 has 120 divisors (see below), whose sum is σ = 1517648298845760. Its totient is φ = 286693967572992.

The previous prime is 671157734404301. The next prime is 671157734404307. The reversal of 671157734404304 is 403404437751176.

It is an interprime number because it is at equal distance from previous prime (671157734404301) and next prime (671157734404307).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 671157734404304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671157734404301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457748912 + ... + 459212784.

It is an arithmetic number, because the mean of its divisors is an integer number (12647069157048).

Almost surely, 2671157734404304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671157734404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758824149422880).

671157734404304 is an abundant number, since it is smaller than the sum of its proper divisors (846490564441456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

671157734404304 is a wasteful number, since it uses less digits than its factorization.

671157734404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465817 (or 1465804 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 56.

The spelling of 671157734404304 in words is "six hundred seventy-one trillion, one hundred fifty-seven billion, seven hundred thirty-four million, four hundred four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 379 392 758 784 1516 1543 2653 3032 3086 5306 6064 6172 10612 10801 12344 18571 21224 21602 24688 37142 42448 43204 74284 75607 86408 148568 151214 172816 297136 302428 584797 604856 1169594 1209712 1463873 2339188 2927746 4093579 4678376 5855492 8187158 9356752 10247111 11710984 16374316 20494222 23421968 28655053 32748632 40988444 57310106 65497264 71729777 81976888 114620212 143459554 163953776 229240424 286919108 458480848 554807867 573838216 1109615734 1147676432 2219231468 2258756039 3883655069 4438462936 4517512078 7767310138 8876925872 9035024156 15534620276 15811292273 18070048312 27185585483 31069240552 31622584546 36140096624 54371170966 62138481104 63245169092 108742341932 110679045911 126490338184 217484683864 221358091822 252980676368 434969367728 442716183644 856068538781 885432367288 1712137077562 1770864734576 3424274155124 5992479771467 6848548310248 11984959542934 13697096620496 23969919085868 41947358400269 47939838171736 83894716800538 95879676343472 167789433601076 335578867202152 671157734404304