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150415978172 = 221729435333469
BaseRepresentation
bin1000110000010101111…
…1011010111010111100
3112101020202012101122112
42030011133122322330
54431022442300142
6153033344233152
713603306501415
oct2140537327274
9471222171575
10150415978172
1158877997769
122519a00b7b8
13112517c66a5
1473ccb1480c
153da539c382
hex23057daebc

150415978172 has 96 divisors (see below), whose sum is σ = 300603441600. Its totient is φ = 65492324352.

The previous prime is 150415978157. The next prime is 150415978177. The reversal of 150415978172 is 271879514051.

It is a super-3 number, since 3×1504159781723 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150415978172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150415978177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4477454 + ... + 4510922.

It is an arithmetic number, because the mean of its divisors is an integer number (3131285850).

Almost surely, 2150415978172 is an apocalyptic number.

It is an amenable number.

150415978172 is a deficient number, since it is larger than the sum of its proper divisors (150187463428).

150415978172 is a wasteful number, since it uses less digits than its factorization.

150415978172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33615 (or 33613 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 50.

The spelling of 150415978172 in words is "one hundred fifty billion, four hundred fifteen million, nine hundred seventy-eight thousand, one hundred seventy-two".

Divisors: 1 2 4 17 29 34 43 53 58 68 86 106 116 172 212 493 731 901 986 1247 1462 1537 1802 1972 2279 2494 2924 3074 3604 4558 4988 6148 9116 21199 26129 33469 38743 42398 52258 66091 66938 77486 84796 104516 132182 133876 154972 264364 568973 970601 1123547 1137946 1439167 1773857 1941202 2247094 2275892 2878334 3547714 3882404 4494188 5756668 7095428 16500217 24465839 30155569 33000434 41735843 48931678 51441853 60311138 66000868 76275851 83471686 97863356 102883706 120622276 152551702 166943372 205767412 305103404 709509331 874511501 1296689467 1419018662 1749023002 2211999679 2593378934 2838037324 3498046004 4423999358 5186757868 8847998716 37603994543 75207989086 150415978172