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148025637081 = 34723121972
BaseRepresentation
bin1000100111011100000…
…0111111100011011001
3112011002011100111010000
42021313000333203121
54411124030341311
6152000235043213
713460133104100
oct2116700774331
9464064314100
10148025637081
1157860682063
12248315a0509
1310c6051028a
14724348b037
153cb55d3056
hex227703f8d9

148025637081 has 135 divisors (see below), whose sum is σ = 267148060047. Its totient is φ = 81441974880.

The previous prime is 148025637079. The next prime is 148025637101. The reversal of 148025637081 is 180736520841.

The square root of 148025637081 is 384741.

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

148025637081 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 2 + 5 + 637 + 0 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145035297225 + 2990339856 = 380835^2 + 54684^2 .

It is not a de Polignac number, because 148025637081 - 21 = 148025637079 is a prime.

It is a super-2 number, since 2×1480256370812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148025637481) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 751399075 + ... + 751399271.

Almost surely, 2148025637081 is an apocalyptic number.

148025637081 is the 384741-st square number.

148025637081 is the 192371-st centered octagonal number.

It is an amenable number.

148025637081 is a deficient number, since it is larger than the sum of its proper divisors (119122422966).

148025637081 is an frugal number, since it uses more digits than its factorization.

148025637081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 148025637081 in words is "one hundred forty-eight billion, twenty-five million, six hundred thirty-seven thousand, eighty-one".

Divisors: 1 3 7 9 21 27 31 49 63 81 93 147 189 197 217 279 441 567 591 651 837 961 1323 1379 1519 1773 1953 2511 2883 3969 4137 4557 5319 5859 6107 6727 8649 9653 12411 13671 15957 17577 18321 20181 25947 28959 37233 38809 41013 42749 47089 54963 60543 77841 86877 111699 116427 123039 128247 141267 164889 181629 189317 260631 271663 299243 349281 384741 423801 494667 544887 567951 781893 814989 897729 1047843 1154223 1203079 1271403 1325219 1703853 1901641 2444967 2693187 3143529 3462669 3609237 3814209 3975657 5111559 5704923 7334901 8079561 8421553 9276533 10827711 11926971 15334677 17114769 22004703 24238683 25264659 27829599 32483133 35780913 37295449 51344307 58950871 75793977 83488797 97449399 107342739 111886347 154032921 176852613 227381931 250466391 261068143 335659041 530557839 682145793 751399173 783204429 1006977123 1591673517 1827477001 2349613287 3020931369 4775020551 5482431003 7048839861 16447293009 21146519583 49341879027 148025637081