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102469826928 = 24373140124533
BaseRepresentation
bin101111101101110101…
…1010111100101110000
3100210111022001112212010
41133123223113211300
53134324233430203
6115023552002520
710255204105050
oct1373353274560
9323438045763
10102469826928
113a503600687
1217a38b30440
1398804061b1
144d61099560
1529eaea5303
hex17dbad7970

102469826928 has 160 divisors (see below), whose sum is σ = 313080532992. Its totient is φ = 28260864000.

The previous prime is 102469826923. The next prime is 102469826939. The reversal of 102469826928 is 829628964201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102469826923) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4164550 + ... + 4189082.

Almost surely, 2102469826928 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 102469826928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156540266496).

102469826928 is an abundant number, since it is smaller than the sum of its proper divisors (210610706064).

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

102469826928 is a wasteful number, since it uses less digits than its factorization.

102469826928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24983 (or 24977 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 102469826928 in words is "one hundred two billion, four hundred sixty-nine million, eight hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 401 434 496 651 744 802 868 1203 1302 1488 1604 1736 2406 2604 2807 3208 3472 4812 5208 5614 6416 8421 9624 10416 11228 12431 16842 19248 22456 24533 24862 33684 37293 44912 49066 49724 67368 73599 74586 87017 98132 99448 134736 147198 149172 171731 174034 196264 198896 261051 294396 298344 343462 348068 392528 515193 522102 588792 596688 686924 696136 760523 1030386 1044204 1177584 1373848 1392272 1521046 2060772 2088408 2281569 2747696 3042092 4121544 4176816 4563138 5323661 6084184 8243088 9126276 9837733 10647322 12168368 15970983 18252552 19675466 21294644 29513199 31941966 36505104 39350932 42589288 59026398 63883932 68864131 78701864 85178576 118052796 127767864 137728262 157403728 206592393 236105592 255535728 275456524 304969723 413184786 472211184 550913048 609939446 826369572 914909169 1101826096 1219878892 1652739144 1829818338 2134788061 2439757784 3305478288 3659636676 4269576122 4879515568 6404364183 7319273352 8539152244 12808728366 14638546704 17078304488 25617456732 34156608976 51234913464 102469826928