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11471507664 = 24343107127409
BaseRepresentation
bin10101010111100000…
…10101000011010000
31002121110122222011020
422223300111003100
5141443201221124
65134150115440
7554163130521
oct125360250320
932543588136
1011471507664
114957404551
12228194bb80
13110a814a76
147ab76a848
1547217a379
hex2abc150d0

11471507664 has 160 divisors (see below), whose sum is σ = 30923735040. Its totient is φ = 3661894656.

The previous prime is 11471507569. The next prime is 11471507681. The reversal of 11471507664 is 46670517411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28047492 + ... + 28047900.

It is an arithmetic number, because the mean of its divisors is an integer number (193273344).

Almost surely, 211471507664 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 11471507664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461867520).

11471507664 is an abundant number, since it is smaller than the sum of its proper divisors (19452227376).

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

11471507664 is a wasteful number, since it uses less digits than its factorization.

11471507664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 11471507664 in words is "eleven billion, four hundred seventy-one million, five hundred seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 107 127 129 172 214 254 258 321 344 381 409 428 508 516 642 688 762 818 856 1016 1032 1227 1284 1524 1636 1712 2032 2064 2454 2568 3048 3272 4601 4908 5136 5461 6096 6544 9202 9816 10922 13589 13803 16383 17587 18404 19632 21844 27178 27606 32766 35174 36808 40767 43688 43763 51943 52761 54356 55212 65532 70348 73616 81534 87376 87526 103886 105522 108712 110424 131064 131289 140696 155829 163068 175052 207772 211044 217424 220848 262128 262578 281392 311658 326136 350104 415544 422088 525156 584327 623316 652272 700208 831088 844176 1050312 1168654 1246632 1752981 1881809 2100624 2233549 2337308 2493264 3505962 3763618 4467098 4674616 5557901 5645427 6700647 7011924 7527236 8934196 9349232 11115802 11290854 13401294 14023848 15054472 16673703 17868392 22231604 22581708 26802588 28047696 30108944 33347406 35736784 44463208 45163416 53605176 66694812 88926416 90326832 107210352 133389624 238989743 266779248 477979486 716969229 955958972 1433938458 1911917944 2867876916 3823835888 5735753832 11471507664