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152561506236440 = 23572947893923233
BaseRepresentation
bin100010101100000011111110…
…011000101011100000011000
3202000011201220200100220100012
4202230003332120223200120
5124444031431044031230
61300245442144301052
744064130226416520
oct4254037630534030
9660151820326305
10152561506236440
1144679a76000304
121513b537911788
136718646a71ca2
142996032a2a680
15129871cb20395
hex8ac0fe62b818

152561506236440 has 128 divisors (see below), whose sum is σ = 405913482576000. Its totient is φ = 50492560785408.

The previous prime is 152561506236421. The next prime is 152561506236449. The reversal of 152561506236440 is 44632605165251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152561506236449) 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, 36925064 + ... + 40848296.

It is an arithmetic number, because the mean of its divisors is an integer number (3171199082625).

Almost surely, 2152561506236440 is an apocalyptic number.

152561506236440 is a gapful number since it is divisible by the number (10) 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 152561506236440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202956741288000).

152561506236440 is an abundant number, since it is smaller than the sum of its proper divisors (253351976339560).

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

152561506236440 is a wasteful number, since it uses less digits than its factorization.

152561506236440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928069 (or 3928065 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 50.

The spelling of 152561506236440 in words is "one hundred fifty-two trillion, five hundred sixty-one billion, five hundred six million, two hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 4789 8120 9578 19156 23945 33523 38312 47890 67046 95780 134092 138881 167615 191560 268184 277762 335230 555524 670460 694405 972167 1111048 1340920 1388810 1944334 2777620 3888668 3923233 4860835 5555240 7777336 7846466 9721670 15692932 19443340 19616165 27462631 31385864 38886680 39232330 54925262 78464660 109850524 113773757 137313155 156929320 219701048 227547514 274626310 455095028 549252620 568868785 796416299 910190056 1098505240 1137737570 1592832598 2275475140 3185665196 3982081495 4550950280 6371330392 7964162990 15928325980 18788362837 31856651960 37576725674 75153451348 93941814185 131518539859 150306902696 187883628370 263037079718 375767256740 526074159436 544862522273 657592699295 751534513480 1052148318872 1089725044546 1315185398590 2179450089092 2630370797180 2724312611365 3814037655911 4358900178184 5260741594360 5448625222730 7628075311822 10897250445460 15256150623644 19070188279555 21794500890920 30512301247288 38140376559110 76280753118220 152561506236440