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11629304920 = 23517191316871
BaseRepresentation
bin10101101010010100…
…10001110001011000
31010000110120220022001
422311022101301120
5142304100224140
65201544210344
7561120314032
oct126512216130
933013526261
1011629304920
114a28491a02
1223067699b4
131134413a1c
147c46c4c52
15480e49e9a
hex2b5291c58

11629304920 has 128 divisors (see below), whose sum is σ = 29390169600. Its totient is φ = 4115404800.

The previous prime is 11629304899. The next prime is 11629304959. The reversal of 11629304920 is 2940392611.

It is a self number, because there is not a number n which added to its sum of digits gives 11629304920.

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, 1689085 + ... + 1695955.

It is an arithmetic number, because the mean of its divisors is an integer number (229610700).

Almost surely, 211629304920 is an apocalyptic number.

11629304920 is a gapful number since it is divisible by the number (10) 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 11629304920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695084800).

11629304920 is an abundant number, since it is smaller than the sum of its proper divisors (17760864680).

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

11629304920 is a wasteful number, since it uses less digits than its factorization.

11629304920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 11629304920 in words is "eleven billion, six hundred twenty-nine million, three hundred four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 131 136 152 170 190 262 323 340 380 524 646 655 680 760 1048 1292 1310 1615 2227 2489 2584 2620 3230 4454 4978 5240 6460 6871 8908 9956 11135 12445 12920 13742 17816 19912 22270 24890 27484 34355 42313 44540 49780 54968 68710 84626 89080 99560 116807 130549 137420 169252 211565 233614 261098 274840 338504 423130 467228 522196 584035 652745 846260 900101 934456 1044392 1168070 1305490 1692520 1800202 2219333 2336140 2610980 3600404 4438666 4500505 4672280 5221960 7200808 8877332 9001010 11096665 15301717 17101919 17754664 18002020 22193330 30603434 34203838 36004040 44386660 61206868 68407676 76508585 85509595 88773320 122413736 136815352 153017170 171019190 290732623 306034340 342038380 581465246 612068680 684076760 1162930492 1453663115 2325860984 2907326230 5814652460 11629304920