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75532142252 = 227194123914489
BaseRepresentation
bin100011001011000010…
…0010000011010101100
321012221222001101101002
41012112010100122230
52214142212023002
654410551535432
75312520421160
oct1062604203254
9235858041332
1075532142252
112a03aa1a466
121277b68a578
1371796033c8
143927638ca0
151e7112e002
hex11961106ac

75532142252 has 96 divisors (see below), whose sum is σ = 163586304000. Its totient is φ = 29791964160.

The previous prime is 75532142251. The next prime is 75532142261. The reversal of 75532142252 is 25224123557.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (75532142251) 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, 5205824 + ... + 5220312.

It is an arithmetic number, because the mean of its divisors is an integer number (1704024000).

Almost surely, 275532142252 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 75532142252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81793152000).

75532142252 is an abundant number, since it is smaller than the sum of its proper divisors (88054161748).

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

75532142252 is a wasteful number, since it uses less digits than its factorization.

75532142252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14799 (or 14797 counting only the distinct ones).

The product of its digits is 168000, while the sum is 38.

The spelling of 75532142252 in words is "seventy-five billion, five hundred thirty-two million, one hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 239 266 287 478 532 574 779 956 1148 1558 1673 3116 3346 4541 5453 6692 9082 9799 10906 14489 18164 19598 21812 28978 31787 39196 57956 63574 68593 101423 127148 137186 186181 202846 274372 275291 372362 405692 550582 594049 744724 1101164 1188098 1303267 1927037 2376196 2606534 3462871 3854074 4158343 5213068 6925742 7708148 8316686 11286931 13851484 16633372 22573862 24240097 45147724 48480194 65794549 79008517 96960388 131589098 141977711 158017034 263178196 283955422 316034068 460561843 567910844 921123686 993843977 1842247372 1987687954 2697576509 3975375908 5395153018 10790306036 18883035563 37766071126 75532142252