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368008137040 = 24529978231987
BaseRepresentation
bin1010101101011101111…
…11101000100101010000
31022011220010020100022111
411112232333220211100
522012140040341130
6441021031315104
735405404360345
oct5265677504520
91264803210274
10368008137040
11132086aaa235
125b3a521ba94
132891a6ba80b
1413b513ba7cc
15988ceb802a
hex55aefe8950

368008137040 has 160 divisors (see below), whose sum is σ = 895785166080. Its totient is φ = 140420431872.

The previous prime is 368008137031. The next prime is 368008137047. The reversal of 368008137040 is 40731800863.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 368008136984 and 368008137002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368008137047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185206927 + ... + 185208913.

It is an arithmetic number, because the mean of its divisors is an integer number (5598657288).

Almost surely, 2368008137040 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 368008137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447892583040).

368008137040 is an abundant number, since it is smaller than the sum of its proper divisors (527777029040).

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

368008137040 is a wasteful number, since it uses less digits than its factorization.

368008137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 368008137040 in words is "three hundred sixty-eight billion, eight million, one hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 97 116 145 194 232 290 388 464 485 580 776 823 970 1160 1552 1646 1940 1987 2320 2813 3292 3880 3974 4115 5626 6584 7760 7948 8230 9935 11252 13168 14065 15896 16460 19870 22504 23867 28130 31792 32920 39740 45008 47734 56260 57623 65840 79480 79831 95468 112520 115246 119335 158960 159662 190936 192739 225040 230492 238670 288115 319324 381872 385478 399155 460984 477340 576230 638648 770956 798310 921968 954680 963695 1152460 1277296 1541912 1596620 1635301 1909360 1927390 2304920 2315099 3083824 3193240 3270602 3854780 4609840 4630198 5589431 6386480 6541204 7709560 8176505 9260396 11178862 11575495 13082408 15419120 16353010 18520792 22357724 23150990 26164816 27947155 32706020 37041584 44715448 46301980 47423729 55894310 65412040 89430896 92603960 94847458 111788620 130824080 158624197 185207920 189694916 223577240 237118645 317248394 379389832 447154480 474237290 634496788 758779664 793120985 948474580 1268993576 1586241970 1896949160 2537987152 3172483940 3793898320 4600101713 6344967880 9200203426 12689935760 18400406852 23000508565 36800813704 46001017130 73601627408 92002034260 184004068520 368008137040