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87026208831872 = 271753769981271
BaseRepresentation
bin10011110010011001011110…
…010000110111100110000000
3102102010121212010100121101222
4103302121132100313212000
542401314133430104442
6505031142144214212
724221302403563232
oct2362313620674600
9372117763317358
1087026208831872
1125802676131812
12991631930a368
1339736c828b48b
14176c13b922252
15a0db40edc8d2
hex4f265e437980

87026208831872 has 128 divisors (see below), whose sum is σ = 187277919998400. Its totient is φ = 40128510689280.

The previous prime is 87026208831851. The next prime is 87026208831907. The reversal of 87026208831872 is 27813880262078.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×870262088318722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88196597 + ... + 89177867.

Almost surely, 287026208831872 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 87026208831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93638959999200).

87026208831872 is an abundant number, since it is smaller than the sum of its proper divisors (100251711166528).

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

87026208831872 is a wasteful number, since it uses less digits than its factorization.

87026208831872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982124 (or 982112 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 62.

The spelling of 87026208831872 in words is "eighty-seven trillion, twenty-six billion, two hundred eight million, eight hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 272 424 544 769 848 901 1088 1538 1696 1802 2176 3076 3392 3604 6152 6784 7208 12304 13073 14416 24608 26146 28832 40757 49216 52292 57664 81514 98432 104584 115328 163028 209168 326056 418336 652112 692869 836672 981271 1304224 1385738 1673344 1962542 2608448 2771476 3925084 5216896 5542952 7850168 11085904 15700336 16681607 22171808 31400672 33363214 44343616 52007363 62801344 66726428 88687232 104014726 125602688 133452856 208029452 266905712 416058904 533811424 754597399 832117808 884125171 1067622848 1509194798 1664235616 1768250342 2135245696 3018389596 3328471232 3536500684 6036779192 6656942464 7073001368 12073558384 12828155783 14146002736 24147116768 25656311566 28292005472 39993662147 48294233536 51312623132 56584010944 79987324294 96588467072 102625246264 113168021888 159974648588 205250492528 319949297176 410500985056 639898594352 679892256499 821001970112 1279797188704 1359784512998 1642003940224 2559594377408 2719569025996 5119188754816 5439138051992 10878276103984 21756552207968 43513104415936 87026208831872