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151245912048 = 243711167245039
BaseRepresentation
bin1000110011011011110…
…1010111011111110000
3112110101120212101220020
42030312331113133300
54434222423141143
6153251552443440
713633005016620
oct2146675273760
9473346771806
10151245912048
1159163413330
122538bb49580
131135472a41a
14746b032880
153e03188883
hex2336f577f0

151245912048 has 160 divisors (see below), whose sum is σ = 490048634880. Its totient is φ = 39049255680.

The previous prime is 151245912043. The next prime is 151245912073. The reversal of 151245912048 is 840219542151.

It is a super-2 number, since 2×1512459120482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151245912043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494713 + ... + 739751.

It is an arithmetic number, because the mean of its divisors is an integer number (3062803968).

Almost surely, 2151245912048 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 151245912048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245024317440).

151245912048 is an abundant number, since it is smaller than the sum of its proper divisors (338802722832).

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

151245912048 is a wasteful number, since it uses less digits than its factorization.

151245912048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245235 (or 245229 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 151245912048 in words is "one hundred fifty-one billion, two hundred forty-five million, nine hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 167 168 176 231 264 308 334 336 462 501 528 616 668 924 1002 1169 1232 1336 1837 1848 2004 2338 2672 3507 3674 3696 4008 4676 5511 7014 7348 8016 9352 11022 12859 14028 14696 18704 22044 25718 28056 29392 38577 44088 51436 56112 77154 88176 102872 154308 205744 245039 308616 490078 617232 735117 980156 1470234 1715273 1960312 2695429 2940468 3430546 3920624 5145819 5390858 5880936 6861092 8086287 10291638 10781716 11761872 13722184 16172574 18868003 20583276 21563432 27444368 32345148 37736006 40921513 41166552 43126864 56604009 64690296 75472012 81843026 82333104 113208018 122764539 129380592 150944024 163686052 226416036 245529078 286450591 301888048 327372104 450136643 452832072 491058156 572901182 654744208 859351773 900273286 905664144 982116312 1145802364 1350409929 1718703546 1800546572 1964232624 2291604728 2700819858 3150956501 3437407092 3601093144 4583209456 5401639716 6301913002 6874814184 7202186288 9452869503 10803279432 12603826004 13749628368 18905739006 21606558864 25207652008 37811478012 50415304016 75622956024 151245912048