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81961367376 = 24372371149377
BaseRepresentation
bin100110001010101000…
…1110011011101010000
321211120000202212020010
41030111101303131100
52320324102224001
6101352540314520
75631036061560
oct1142521633520
9254500685203
1081961367376
113183a067459
1213a74842a40
1379625a3b25
143d77458da0
1521ea79e8d6
hex1315473750

81961367376 has 160 divisors (see below), whose sum is σ = 256060182528. Its totient is φ = 22083747840.

The previous prime is 81961367357. The next prime is 81961367413. The reversal of 81961367376 is 67376316918.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474000 + ... + 623376.

Almost surely, 281961367376 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 81961367376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128030091264).

81961367376 is an abundant number, since it is smaller than the sum of its proper divisors (174098815152).

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

81961367376 is a wasteful number, since it uses less digits than its factorization.

81961367376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149489 (or 149483 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 57.

The spelling of 81961367376 in words is "eighty-one billion, nine hundred sixty-one million, three hundred sixty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 71 84 92 112 138 142 161 168 184 213 276 284 322 336 368 426 483 497 552 568 644 852 966 994 1104 1136 1288 1491 1633 1704 1932 1988 2576 2982 3266 3408 3864 3976 4899 5964 6532 7728 7952 9798 11431 11928 13064 19596 22862 23856 26128 34293 39192 45724 68586 78384 91448 137172 149377 182896 274344 298754 448131 548688 597508 896262 1045639 1195016 1792524 2091278 2390032 3136917 3435671 3585048 4182556 6273834 6871342 7170096 8365112 10307013 10605767 12547668 13742684 16730224 20614026 21211534 24049697 25095336 27485368 31817301 41228052 42423068 48099394 50190672 54970736 63634602 72149091 74240369 82456104 84846136 96198788 127269204 144298182 148480738 164912208 169692272 192397576 222721107 243932641 254538408 288596364 296961476 384795152 445442214 487865282 509076816 577192728 593922952 731797923 890884428 975730564 1154385456 1187845904 1463595846 1707528487 1781768856 1951461128 2927191692 3415056974 3563537712 3902922256 5122585461 5854383384 6830113948 10245170922 11708766768 13660227896 20490341844 27320455792 40980683688 81961367376