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991791912672 = 2532111072925847
BaseRepresentation
bin11100110111010110110…
…01111001011011100000
310111210222200110101102200
432123223121321123200
5112222142212201142
62035342314413200
7131440346106201
oct16335331713340
93453880411380
10991791912672
11352686751450
12140271131200
13726aa8c9332
14360082935a8
151abead6564c
hexe6eb6796e0

991791912672 has 144 divisors (see below), whose sum is σ = 3105565287552. Its totient is φ = 297734088960.

The previous prime is 991791912667. The next prime is 991791912697. The reversal of 991791912672 is 276219197199.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1123948 + ... + 1801899.

It is an arithmetic number, because the mean of its divisors is an integer number (21566425608).

Almost surely, 2991791912672 is an apocalyptic number.

It is an amenable number.

991791912672 is an abundant number, since it is smaller than the sum of its proper divisors (2113773374880).

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

991791912672 is a wasteful number, since it uses less digits than its factorization.

991791912672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925981 (or 2925970 counting only the distinct ones).

The product of its digits is 7715736, while the sum is 63.

The spelling of 991791912672 in words is "nine hundred ninety-one billion, seven hundred ninety-one million, nine hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 107 132 144 176 198 214 264 288 321 352 396 428 528 642 792 856 963 1056 1177 1284 1584 1712 1926 2354 2568 3168 3424 3531 3852 4708 5136 7062 7704 9416 10272 10593 14124 15408 18832 21186 28248 30816 37664 42372 56496 84744 112992 169488 338976 2925847 5851694 8777541 11703388 17555082 23406776 26332623 32184317 35110164 46813552 52665246 64368634 70220328 93627104 96552951 105330492 128737268 140440656 193105902 210660984 257474536 280881312 289658853 313065629 386211804 421321968 514949072 579317706 626131258 772423608 842643936 939196887 1029898144 1158635412 1252262516 1544847216 1878393774 2317270824 2504525032 2817590661 3089694432 3443721919 3756787548 4634541648 5009050064 5635181322 6887443838 7513575096 9269083296 10018100128 10331165757 11270362644 13774887676 15027150192 20662331514 22540725288 27549775352 30054300384 30993497271 41324663028 45081450576 55099550704 61986994542 82649326056 90162901152 110199101408 123973989084 165298652112 247947978168 330597304224 495895956336 991791912672