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10951981404 = 2237137921607
BaseRepresentation
bin10100011001100100…
…11111100101011100
31001021021002022002220
422030302133211130
5134412201401104
65010430545340
7535254206640
oct121462374534
931237068086
1010951981404
114710120801
122157968250
131056cb4090
1475c770c20
154417567d9
hex28cc9f95c

10951981404 has 144 divisors (see below), whose sum is σ = 31874830848. Its totient is φ = 2850097536.

The previous prime is 10951981373. The next prime is 10951981429. The reversal of 10951981404 is 40418915901.

It is a super-2 number, since 2×109519814042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6814369 + ... + 6815975.

It is an arithmetic number, because the mean of its divisors is an integer number (221352992).

Almost surely, 210951981404 is an apocalyptic number.

10951981404 is a gapful number since it is divisible by the number (14) 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 10951981404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937415424).

10951981404 is an abundant number, since it is smaller than the sum of its proper divisors (20922849444).

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

10951981404 is a wasteful number, since it uses less digits than its factorization.

10951981404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 10951981404 in words is "ten billion, nine hundred fifty-one million, nine hundred eighty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 79 84 91 156 158 182 237 273 316 364 474 546 553 948 1027 1092 1106 1607 1659 2054 2212 3081 3214 3318 4108 4821 6162 6241 6428 6636 7189 9642 11249 12324 12482 14378 18723 19284 20891 21567 22498 24964 28756 33747 37446 41782 43134 43687 44996 62673 67494 74892 81133 83564 86268 87374 125346 126953 131061 134988 146237 162266 174748 243399 250692 253906 262122 292474 324532 380859 438711 486798 507812 524244 567931 584948 761718 877422 888671 973596 1135862 1523436 1650389 1703793 1754844 1777342 2271724 2666013 3300778 3407586 3554684 4951167 5332026 6601556 6815172 9902334 10029287 10664052 11552723 19804668 20058574 23105446 30087861 34658169 40117148 46210892 60175722 69316338 70205009 120351444 130380731 138632676 140410018 210615027 260761462 280820036 391142193 421230054 521522924 782284386 842460108 912665117 1564568772 1825330234 2737995351 3650660468 5475990702 10951981404