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49620235536 = 24321929772
BaseRepresentation
bin101110001101100110…
…001011010100010000
311202002010020010201100
4232031212023110100
51303110240014121
634443433504400
73404431020504
oct561546132420
9152063203640
1049620235536
111a053369423
129749872100
1348aa194b21
14258a116304
15145637c026
hexb8d98b510

49620235536 has 135 divisors (see below), whose sum is σ = 146711411301. Its totient is φ = 15653509632.

The previous prime is 49620235507. The next prime is 49620235597. The reversal of 49620235536 is 63553202694.

The square root of 49620235536 is 222756.

It is a perfect power (a square), and thus also a powerful number.

49620235536 is a `hidden beast` number, since 4 + 96 + 2 + 0 + 2 + 3 + 553 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46423011600 + 3197223936 = 215460^2 + 56544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 49620235491 and 49620235500.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50787880 + ... + 50788856.

Almost surely, 249620235536 is an apocalyptic number.

49620235536 is the 222756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49620235536

49620235536 is an abundant number, since it is smaller than the sum of its proper divisors (97091175765).

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

49620235536 is an equidigital number, since it uses as much as digits as its factorization.

49620235536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

It can be divided in two parts, 49620 and 235536, that added together give a square (285156 = 5342).

The spelling of 49620235536 in words is "forty-nine billion, six hundred twenty million, two hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 977 1083 1368 1444 1954 2166 2736 2888 2931 3249 3908 4332 5776 5862 6498 7816 8664 8793 11724 12996 15632 17328 17586 18563 23448 25992 35172 37126 46896 51984 55689 70344 74252 111378 140688 148504 167067 222756 297008 334134 352697 445512 668268 705394 891024 954529 1058091 1336536 1410788 1909058 2116182 2673072 2821576 2863587 3174273 3818116 4232364 5643152 5727174 6348546 7636232 8464728 8590761 11454348 12697092 15272464 16929456 17181522 18136051 22908696 25394184 34363044 36272102 45817392 50788368 54408153 68726088 72544204 108816306 137452176 145088408 163224459 217632612 290176816 326448918 344584969 435265224 652897836 689169938 870530448 1033754907 1305795672 1378339876 2067509814 2611591344 2756679752 3101264721 4135019628 5513359504 6202529442 8270039256 12405058884 16540078512 24810117768 49620235536