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151830331533036 = 22321310926393112771
BaseRepresentation
bin100010100001011011000000…
…111110100010011011101100
3201220120211121212011111002200
4202201123000332202123230
5124400042004333024121
61254525520313021500
743660244104115052
oct4241330076423354
9656524555144080
10151830331533036
1144417977a3a622
121504189a9b4890
136694700a649b0
14296c8ad2941d2
1512846c6c4da26
hex8a16c0fa26ec

151830331533036 has 144 divisors (see below), whose sum is σ = 417127294103520. Its totient is φ = 46286264263680.

The previous prime is 151830331532951. The next prime is 151830331533043. The reversal of 151830331533036 is 630335133038151.

151830331533036 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 3 + 0 + 331 + 5 + 3 + 303 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151830331532982 and 151830331533000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1346303331 + ... + 1346416101.

Almost surely, 2151830331533036 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 151830331533036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208563647051760).

151830331533036 is an abundant number, since it is smaller than the sum of its proper divisors (265296962570484).

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

151830331533036 is a wasteful number, since it uses less digits than its factorization.

151830331533036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139296 (or 139291 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 151830331533036 in words is "one hundred fifty-one trillion, eight hundred thirty billion, three hundred thirty-one million, five hundred thirty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 156 218 234 327 436 468 654 981 1308 1417 1962 2834 3924 4251 5668 8502 12753 17004 25506 26393 51012 52786 79179 105572 112771 158358 225542 237537 316716 338313 343109 451084 475074 676626 686218 950148 1014939 1029327 1353252 1372436 1466023 2029878 2058654 2876837 2932046 3087981 4059756 4117308 4398069 5753674 5864092 6175962 8630511 8796138 11507348 12292039 12351924 13194207 17261022 17592276 24584078 25891533 26388414 34522044 36876117 37398881 49168156 51783066 52776828 73752234 74797762 103566132 110628351 112196643 147504468 149595524 159796507 221256702 224393286 319593014 336589929 442513404 448786572 479389521 639186028 673179858 958779042 1346359716 1438168563 1917558084 2876337126 2976365003 5752674252 5952730006 8929095009 11905460012 17858190018 26787285027 35716380036 38692745039 53574570054 77385490078 107149140108 116078235117 154770980156 232156470234 324423785327 348234705351 464312940468 648847570654 696469410702 973271355981 1297695141308 1392938821404 1946542711962 2919814067943 3893085423924 4217509209251 5839628135886 8435018418502 11679256271772 12652527627753 16870036837004 25305055255506 37957582883259 50610110511012 75915165766518 151830331533036