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148263474969801 = 327928326192
BaseRepresentation
bin100001101101100001000111…
…110000100011110011001001
3201102221211221111021012010100
4201231201013300203303021
5123413122044043013201
61243155144454040013
743141453060430322
oct4155410760436311
9642854844235110
10148263474969801
1143272206443a04
1214766555949009
136496254c95649
142887dc1c25449
151221a1723e886
hex86d847c23cc9

148263474969801 has 81 divisors (see below), whose sum is σ = 219903569015949. Its totient is φ = 96259591260144.

The previous prime is 148263474969787. The next prime is 148263474969803. The reversal of 148263474969801 is 108969474362841.

The square root of 148263474969801 is 12176349.

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

148263474969801 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 6 + 3 + 47 + 496 + 98 + 0 + 1 = 666.

It is not a de Polignac number, because 148263474969801 - 25 = 148263474969769 is a prime.

It is a super-4 number, since 4×1482634749698014 (a number of 58 digits) contains 4444 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 148263474969801.

It is not an unprimeable number, because it can be changed into a prime (148263474969803) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 239520960870 + ... + 239520961488.

Almost surely, 2148263474969801 is an apocalyptic number.

148263474969801 is the 12176349-th square number.

148263474969801 is the 6088175-th centered octagonal number.

It is an amenable number.

148263474969801 is a deficient number, since it is larger than the sum of its proper divisors (71640094046148).

148263474969801 is an frugal number, since it uses more digits than its factorization.

148263474969801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 148263474969801 in words is "one hundred forty-eight trillion, two hundred sixty-three billion, four hundred seventy-four million, nine hundred sixty-nine thousand, eight hundred one".

Divisors: 1 3 9 79 83 237 249 619 711 747 1857 5571 6241 6557 6889 18723 19671 20667 48901 51377 56169 59013 62001 146703 154131 383161 440109 462393 518003 544231 1149483 1554009 1632693 3448449 3863179 4058783 4264291 4662027 4898079 11589537 12176349 12792873 30269719 31802363 34768611 36529047 38378619 42994249 90809157 95407089 128982747 272427471 286221267 320643857 336878989 386948241 961931571 1010636967 2391307801 2512386677 2639596129 2885794713 3031910901 7173923403 7537160031 7918788387 21521770209 22611480093 23756365161 26613440131 79840320393 198478547483 208528094191 239520961179 595435642449 625584282573 1786306927347 1876752847719 16473719441089 49421158323267 148263474969801