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151248021372 = 2232713710334241
BaseRepresentation
bin1000110011011100010…
…1011010011101111100
3112110101201211120100100
42030313011122131330
54434223443140442
6153252110001100
713633031653350
oct2146705323574
9473351746310
10151248021372
1159164624078
12253907a6190
1311354cb8546
14746b421460
153e0345384c
hex233715a77c

151248021372 has 144 divisors (see below), whose sum is σ = 440658009792. Its totient is φ = 42846658560.

The previous prime is 151248021359. The next prime is 151248021437. The reversal of 151248021372 is 273120842151.

151248021372 is a `hidden beast` number, since 1 + 512 + 4 + 8 + 0 + 2 + 137 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 35661172 + ... + 35665412.

It is an arithmetic number, because the mean of its divisors is an integer number (3060125068).

Almost surely, 2151248021372 is an apocalyptic number.

151248021372 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 151248021372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220329004896).

151248021372 is an abundant number, since it is smaller than the sum of its proper divisors (289409988420).

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

151248021372 is a wasteful number, since it uses less digits than its factorization.

151248021372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 151248021372 in words is "one hundred fifty-one billion, two hundred forty-eight million, twenty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1033 1233 1644 1918 2066 2466 2877 3099 3836 4132 4241 4932 5754 6198 7231 8482 8631 9297 11508 12396 12723 14462 16964 17262 18594 21693 25446 28924 29687 34524 37188 38169 43386 50892 59374 65079 76338 86772 89061 118748 130158 141521 152676 178122 260316 267183 283042 356244 424563 534366 566084 581017 849126 990647 1068732 1162034 1273689 1698252 1743051 1981294 2324068 2547378 2971941 3486102 3962588 4067119 4380953 5094756 5229153 5943882 6972204 8134238 8761906 8915823 10458306 11887764 12201357 13142859 16268476 17523812 17831646 20916612 24402714 26285718 30666671 35663292 36604071 39428577 48805428 52571436 61333342 73208142 78857154 92000013 122666684 146416284 157714308 184000026 276000039 368000052 552000078 600190561 1104000156 1200381122 1800571683 2400762244 3601143366 4201333927 5401715049 7202286732 8402667854 10803430098 12604001781 16805335708 21606860196 25208003562 37812005343 50416007124 75624010686 151248021372