Search a number
-
+
151432884570 = 235114315716793
BaseRepresentation
bin1000110100001000011…
…0100111000101011010
3112110212121200120222110
42031002012213011122
54440113304301240
6153322312133150
713640435165202
oct2150206470532
9473777616873
10151432884570
1159249a08580
12254226971b6
13113843a2b56
147487bc3402
153e147bcc80
hex23421a715a

151432884570 has 128 divisors (see below), whose sum is σ = 406017266688. Its totient is φ = 35829158400.

The previous prime is 151432884541. The next prime is 151432884583. The reversal of 151432884570 is 75488234151.

151432884570 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22289094 + ... + 22295886.

It is an arithmetic number, because the mean of its divisors is an integer number (3172009896).

Almost surely, 2151432884570 is an apocalyptic number.

151432884570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151432884570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203008633344).

151432884570 is an abundant number, since it is smaller than the sum of its proper divisors (254584382118).

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

151432884570 is a wasteful number, since it uses less digits than its factorization.

151432884570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428.

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 151432884570 in words is "one hundred fifty-one billion, four hundred thirty-two million, eight hundred eighty-four thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 1571 2365 2838 3142 4713 4730 6793 7095 7855 9426 13586 14190 15710 17281 20379 23565 33965 34562 40758 47130 51843 67553 67930 74723 86405 101895 103686 135106 149446 172810 202659 203790 224169 259215 292099 337765 373615 405318 448338 518430 584198 675530 743083 747230 876297 1013295 1120845 1460495 1486166 1752594 2026590 2229249 2241690 2920990 3213089 3715415 4381485 4458498 6426178 7430830 8762970 9639267 10671803 11146245 16065445 19278534 21343606 22292490 32015409 32130890 48196335 53359015 64030818 96392670 106718030 117389833 160077045 234779666 320154090 352169499 458887529 586949165 704338998 917775058 1173898330 1376662587 1760847495 2294437645 2753325174 3521694990 4588875290 5047762819 6883312935 10095525638 13766625870 15143288457 25238814095 30286576914 50477628190 75716442285 151432884570