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16207090480 = 245753717691
BaseRepresentation
bin11110001100000010…
…01001001100110000
31112211111111111112101
433012001021030300
5231143003343410
611240114110144
71112424665440
oct170601111460
945744444471
1016207090480
116967530a59
12318387b354
1316b3953989
14ada67c120
1564cca0d3a
hex3c6049330

16207090480 has 160 divisors (see below), whose sum is σ = 44500866048. Its totient is φ = 5374387200.

The previous prime is 16207090477. The next prime is 16207090499. The reversal of 16207090480 is 8409070261.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2103435 + ... + 2111125.

Almost surely, 216207090480 is an apocalyptic number.

16207090480 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 16207090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22250433024).

16207090480 is an abundant number, since it is smaller than the sum of its proper divisors (28293775568).

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

16207090480 is a wasteful number, since it uses less digits than its factorization.

16207090480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7829 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 16207090480 in words is "sixteen billion, two hundred seven million, ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 71 80 106 112 140 142 212 265 280 284 355 371 424 497 530 560 568 710 742 848 994 1060 1136 1420 1484 1855 1988 2120 2485 2840 2968 3710 3763 3976 4240 4970 5680 5936 7420 7526 7691 7952 9940 14840 15052 15382 18815 19880 26341 29680 30104 30764 37630 38455 39760 52682 53837 60208 61528 75260 76910 105364 107674 123056 131705 150520 153820 210728 215348 263410 269185 301040 307640 407623 421456 430696 526820 538370 546061 615280 815246 861392 1053640 1076740 1092122 1630492 2038115 2107280 2153480 2184244 2730305 2853361 3260984 3822427 4076230 4306960 4368488 5460610 5706722 6521968 7644854 8152460 8736976 10921220 11413444 14266805 15289708 16304920 19112135 21842440 22826888 28533610 28941233 30579416 32609840 38224270 43684880 45653776 57067220 57882466 61158832 76448540 114134440 115764932 144706165 152897080 202588631 228268880 231529864 289412330 305794160 405177262 463059728 578824660 810354524 1012943155 1157649320 1620709048 2025886310 2315298640 3241418096 4051772620 8103545240 16207090480