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155020545450 = 232522929694001
BaseRepresentation
bin1001000001011111110…
…0011100110110101010
3112211010122111122111100
42100113330130312222
510014440224423300
6155114312142230
714125360616001
oct2202774346652
9484118448440
10155020545450
115a820069271
1226064097976
1311806752804
14770847dc38
154074743700
hex2417f1cdaa

155020545450 has 144 divisors (see below), whose sum is σ = 431103043800. Its totient is φ = 39889920000.

The previous prime is 155020545439. The next prime is 155020545461. The reversal of 155020545450 is 54545020551.

155020545450 is a `hidden beast` number, since 1 + 5 + 50 + 20 + 545 + 45 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (155020545439) and next prime (155020545461).

It can be written as a sum of positive squares in 12 ways, for example, as 21615174441 + 133405371009 = 147021^2 + 365247^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38743450 + ... + 38747450.

Almost surely, 2155020545450 is an apocalyptic number.

155020545450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155020545450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215551521900).

155020545450 is an abundant number, since it is smaller than the sum of its proper divisors (276082498350).

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

155020545450 is a wasteful number, since it uses less digits than its factorization.

155020545450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 155020545450 in words is "one hundred fifty-five billion, twenty million, five hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 2969 4001 4350 5938 6525 8002 8907 12003 13050 14845 17814 20005 24006 26721 29690 36009 40010 44535 53442 60015 72018 74225 86101 89070 100025 116029 120030 133605 148450 172202 180045 200050 222675 232058 258303 267210 300075 348087 360090 430505 445350 516606 580145 600150 668025 696174 774909 861010 900225 1044261 1160290 1291515 1336050 1549818 1740435 1800450 2088522 2152525 2583030 2900725 3480870 3874545 4305050 5221305 5801450 6457575 7749090 8702175 10442610 11878969 12915150 17404350 19372725 23757938 26106525 35636907 38745450 52213050 59394845 71273814 106910721 118789690 178184535 213821442 296974225 344490101 356369070 534553605 593948450 688980202 890922675 1033470303 1069107210 1722450505 1781845350 2066940606 2672768025 3100410909 3444901010 5167351515 5345536050 6200821818 8612252525 10334703030 15502054545 17224505050 25836757575 31004109090 51673515150 77510272725 155020545450