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1076947899776 = 27719749912227
BaseRepresentation
bin11111010101111110001…
…10001101010110000000
310210221210100110202001222
433222333012031112000
5120121042130243101
62142424255014212
7140543526052160
oct17527706152600
93727710422058
101076947899776
113858050169a1
1215487780a368
137a72bca6a98
143a1a5ad65a0
151d031cee01b
hexfabf18d580

1076947899776 has 128 divisors (see below), whose sum is σ = 2469566880000. Its totient is φ = 458248476672.

The previous prime is 1076947899743. The next prime is 1076947899787. The reversal of 1076947899776 is 6779987496701.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1076947899776.

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, 88073375 + ... + 88085601.

It is an arithmetic number, because the mean of its divisors is an integer number (19293491250).

Almost surely, 21076947899776 is an apocalyptic number.

1076947899776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076947899776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234783440000).

1076947899776 is an abundant number, since it is smaller than the sum of its proper divisors (1392618980224).

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

1076947899776 is a wasteful number, since it uses less digits than its factorization.

1076947899776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 2016379008, while the sum is 80.

The spelling of 1076947899776 in words is "one trillion, seventy-six billion, nine hundred forty-seven million, eight hundred ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 197 224 394 448 499 788 896 998 1379 1576 1996 2758 3152 3493 3992 5516 6304 6986 7984 11032 12227 12608 13972 15968 22064 24454 25216 27944 31936 44128 48908 55888 63872 85589 88256 97816 98303 111776 171178 176512 195632 196606 223552 342356 391264 393212 447104 684712 688121 782528 786424 1369424 1376242 1565056 1572848 2408719 2738848 2752484 3145696 4817438 5477696 5504968 6101273 6291392 9634876 10955392 11009936 12202546 12582784 16861033 19269752 22019872 24405092 33722066 38539504 42708911 44039744 48810184 67444132 77079008 85417822 88079488 97620368 134888264 154158016 170835644 195240736 269776528 308316032 341671288 390481472 539553056 683342576 780962944 1079106112 1201950781 1366685152 2158212224 2403901562 2733370304 4807803124 5466740608 8413655467 9615606248 16827310934 19231212496 33654621868 38462424992 67309243736 76924849984 134618487472 153849699968 269236974944 538473949888 1076947899776