Search a number
-
+
23356221002604 = 22327974791994779
BaseRepresentation
bin1010100111110000010110…
…10000011001001101101100
310001200211111012101122201200
411103320023100121031230
511030132020034040404
6121401411054005500
74630300633603050
oct523701320311554
9101624435348650
1023356221002604
117495354951426
1227527131a6890
1310056364a9b89
145aa638cc3c60
152a783786d839
hex153e0b41936c

23356221002604 has 144 divisors (see below), whose sum is σ = 68311480473600. Its totient is φ = 6590618846208.

The previous prime is 23356221002593. The next prime is 23356221002627. The reversal of 23356221002604 is 40620012265332.

23356221002604 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 622 + 1 + 0 + 0 + 26 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10711287 + ... + 12706065.

Almost surely, 223356221002604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23356221002604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34155740236800).

23356221002604 is an abundant number, since it is smaller than the sum of its proper divisors (44955259470996).

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

23356221002604 is a wasteful number, since it uses less digits than its factorization.

23356221002604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995372 (or 1995367 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 23356221002604 its reverse (40620012265332), we get a palindrome (63976233267936).

The spelling of 23356221002604 in words is "twenty-three trillion, three hundred fifty-six billion, two hundred twenty-one million, two thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 479 582 679 873 958 1164 1358 1437 1746 1916 2037 2716 2874 3353 3492 4074 4311 5748 6111 6706 8148 8622 10059 12222 13412 17244 20118 24444 30177 40236 46463 60354 92926 120708 139389 185852 278778 325241 418167 557556 650482 836334 975723 1300964 1672668 1951446 1994779 2927169 3902892 3989558 5854338 5984337 7979116 11708676 11968674 13963453 17953011 23937348 27926906 35906022 41890359 55853812 71812044 83780718 125671077 167561436 193493563 251342154 386987126 502684308 580480689 773974252 955499141 1160961378 1354454941 1741442067 1910998282 2321922756 2708909882 2866497423 3482884134 3821996564 4063364823 5417819764 5732994846 6688493987 6965768268 8126729646 8599492269 11465989692 12190094469 13376987974 16253459292 17198984538 20065481961 24380188938 26753975948 34397969076 40130963922 48760377876 60196445883 80261927844 92683416677 120392891766 185366833354 240785783532 278050250031 370733666708 556100500062 648783916739 834150750093 1112201000124 1297567833478 1668301500186 1946351750217 2595135666956 3336603000372 3892703500434 5839055250651 7785407000868 11678110501302 23356221002604