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42102527488 = 297173122291
BaseRepresentation
bin100111001101100000…
…011001011000000000
311000200012022222222221
4213031200121120000
51142211221334423
631201443140424
73020224402360
oct471540313000
9130605288887
1042102527488
111694586306a
1281b0074714
133c7c846978
1420759149a0
15116639ce5d
hex9cd819600

42102527488 has 160 divisors (see below), whose sum is σ = 105084131328. Its totient is φ = 16433971200.

The previous prime is 42102527449. The next prime is 42102527527. The reversal of 42102527488 is 88472520124.

It is an interprime number because it is at equal distance from previous prime (42102527449) and next prime (42102527527).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1877623 + ... + 1899913.

Almost surely, 242102527488 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 42102527488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52542065664).

42102527488 is an abundant number, since it is smaller than the sum of its proper divisors (62981603840).

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

42102527488 is a wasteful number, since it uses less digits than its factorization.

42102527488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22364 (or 22348 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 43.

The spelling of 42102527488 in words is "forty-two billion, one hundred two million, five hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 256 272 434 448 476 496 512 527 544 868 896 952 992 1054 1088 1736 1792 1904 1984 2108 2176 3472 3584 3689 3808 3968 4216 4352 6944 7378 7616 7936 8432 8704 13888 14756 15232 15872 16864 22291 27776 29512 30464 33728 44582 55552 59024 60928 67456 89164 111104 118048 134912 156037 178328 236096 269824 312074 356656 378947 472192 624148 691021 713312 757894 944384 1248296 1382042 1426624 1515788 1888768 2496592 2652629 2764084 2853248 3031576 4837147 4993184 5305258 5528168 5706496 6063152 9674294 9986368 10610516 11056336 11412992 11747357 12126304 19348588 19972736 21221032 22112672 23494714 24252608 38697176 39945472 42442064 44225344 46989428 48505216 77394352 79890944 82231499 84884128 88450688 93978856 97010432 154788704 164462998 169768256 176901376 187957712 194020864 309577408 328925996 339536512 353802752 375915424 619154816 657851992 679073024 751830848 1238309632 1315703984 1358146048 1503661696 2476619264 2631407968 3007323392 5262815936 6014646784 10525631872 21051263744 42102527488