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151149689472 = 2734110219403
BaseRepresentation
bin1000110011000100111…
…0010011101010000000
3112110010212210210100010
42030301032103222000
54434023310030342
6153234234224520
713630426106415
oct2146116235200
9473125723303
10151149689472
1159114071941
1225363885140
131133a80a0a2
14745c34610c
153de99cd29c
hex2331393a80

151149689472 has 128 divisors (see below), whose sum is σ = 411730441920. Its totient is φ = 49101004800.

The previous prime is 151149689461. The next prime is 151149689489. The reversal of 151149689472 is 274986941151.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16069923 + ... + 16079325.

Almost surely, 2151149689472 is an apocalyptic number.

151149689472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151149689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205865220960).

151149689472 is an abundant number, since it is smaller than the sum of its proper divisors (260580752448).

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

151149689472 is a wasteful number, since it uses less digits than its factorization.

151149689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10482 (or 10470 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 57.

The spelling of 151149689472 in words is "one hundred fifty-one billion, one hundred forty-nine million, six hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1021 1312 1968 2042 2624 3063 3936 4084 5248 6126 7872 8168 9403 12252 15744 16336 18806 24504 28209 32672 37612 41861 49008 56418 65344 75224 83722 98016 112836 125583 130688 150448 167444 196032 225672 251166 300896 334888 385523 392064 451344 502332 601792 669776 771046 902688 1004664 1156569 1203584 1339552 1542092 1805376 2009328 2313138 2679104 3084184 3610752 4018656 4626276 5358208 6168368 8037312 9252552 9600463 12336736 16074624 18505104 19200926 24673472 28801389 37010208 38401852 49346944 57602778 74020416 76803704 115205556 148040832 153607408 230411112 307214816 393618983 460822224 614429632 787237966 921644448 1180856949 1228859264 1574475932 1843288896 2361713898 3148951864 3686577792 4723427796 6297903728 9446855592 12595807456 18893711184 25191614912 37787422368 50383229824 75574844736 151149689472