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10007399472 = 2437377311027
BaseRepresentation
bin10010101000111110…
…01100110000110000
3221211102200120021220
421110133030300300
5130443343240342
64333005145040
7502664330520
oct112437146060
927742616256
1010007399472
114275a09384
121b3355b180
13c363ab465
146ad12b680
153d88705ec
hex2547ccc30

10007399472 has 160 divisors (see below), whose sum is σ = 30762650112. Its totient is φ = 2743621632.

The previous prime is 10007399449. The next prime is 10007399473. The reversal of 10007399472 is 27499370001.

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

It is not an unprimeable number, because it can be changed into a prime (10007399473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902023 + ... + 913049.

Almost surely, 210007399472 is an apocalyptic number.

10007399472 is a gapful number since it is divisible by the number (12) 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 10007399472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381325056).

10007399472 is an abundant number, since it is smaller than the sum of its proper divisors (20755250640).

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

10007399472 is a wasteful number, since it uses less digits than its factorization.

10007399472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155 (or 11149 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 10007399472 in words is "ten billion, seven million, three hundred ninety-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 73 74 84 111 112 146 148 168 219 222 259 292 296 336 438 444 511 518 584 592 777 876 888 1022 1036 1168 1533 1554 1752 1776 2044 2072 2701 3066 3108 3504 4088 4144 5402 6132 6216 8103 8176 10804 11027 12264 12432 16206 18907 21608 22054 24528 32412 33081 37814 43216 44108 56721 64824 66162 75628 77189 88216 113442 129648 132324 151256 154378 176432 226884 231567 264648 302512 308756 407999 453768 463134 529296 617512 804971 815998 907536 926268 1223997 1235024 1609942 1631996 1852536 2414913 2447994 2855993 3219884 3263992 3705072 4829826 4895988 5634797 5711986 6439768 6527984 8567979 9659652 9791976 11269594 11423972 12879536 16904391 17135958 19319304 19583952 22539188 22847944 29783927 33808782 34271916 38638608 45078376 45695888 59567854 67617564 68543832 89351781 90156752 119135708 135235128 137087664 178703562 208487489 238271416 270470256 357407124 416974978 476542832 625462467 714814248 833949956 1250924934 1429628496 1667899912 2501849868 3335799824 5003699736 10007399472