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238553649990 = 234516712771381
BaseRepresentation
bin1101111000101011100…
…1111101001101000110
3211210202012210000210000
43132022321331031012
512402024213244430
6301331240342130
723143403365635
oct3361271751506
9753665700700
10238553649990
1192196353057
123a297174946
1319659845016
14b79055351c
156312eace60
hex378ae7d346

238553649990 has 160 divisors (see below), whose sum is σ = 646258181184. Its totient is φ = 63138113280.

The previous prime is 238553649979. The next prime is 238553650001. The reversal of 238553649990 is 99946355832.

238553649990 is a `hidden beast` number, since 2 + 3 + 8 + 5 + 53 + 6 + 499 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (238553649979) and next prime (238553650001).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 172739100 + ... + 172740480.

Almost surely, 2238553649990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238553649990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323129090592).

238553649990 is an abundant number, since it is smaller than the sum of its proper divisors (407704531194).

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

238553649990 is a wasteful number, since it uses less digits than its factorization.

238553649990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 238553649990 in words is "two hundred thirty-eight billion, five hundred fifty-three million, six hundred forty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 167 270 334 405 501 810 835 1002 1277 1381 1503 1670 2505 2554 2762 3006 3831 4143 4509 5010 6385 6905 7515 7662 8286 9018 11493 12429 12770 13527 13810 15030 19155 20715 22545 22986 24858 27054 34479 37287 38310 41430 45090 57465 62145 67635 68958 74574 103437 111861 114930 124290 135270 172395 186435 206874 213259 223722 230627 344790 372870 426518 461254 517185 559305 639777 691881 1034370 1066295 1118610 1153135 1279554 1383762 1763537 1919331 2075643 2132590 2306270 3198885 3459405 3527074 3838662 4151286 5290611 5757993 6226929 6397770 6918810 8817685 9596655 10378215 10581222 11515986 12453858 15871833 17273979 17635370 18680787 19193310 20756430 26453055 28789965 31134645 31743666 34547958 37361574 47615499 52906110 57579930 62269290 79359165 86369895 93403935 95230998 142846497 158718330 172739790 186807870 238077495 285692994 294510679 476154990 589021358 714232485 883532037 1428464970 1472553395 1767064074 2650596111 2945106790 4417660185 5301192222 7951788333 8835320370 13252980555 15903576666 23855364999 26505961110 39758941665 47710729998 79517883330 119276824995 238553649990