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148987971306 = 23219432235607
BaseRepresentation
bin1000101011000001100…
…0000000011011101010
3112020120020011010111100
42022300120000123222
54420111410040211
6152235533142230
713523026601166
oct2126030003352
9466506133440
10148987971306
1158204909aa9
1224a5b92a976
13110849c0205
1472d51d1ca6
153d1ed24156
hex22b06006ea

148987971306 has 72 divisors (see below), whose sum is σ = 347884636320. Its totient is φ = 45954479088.

The previous prime is 148987971283. The next prime is 148987971323. The reversal of 148987971306 is 603179789841.

148987971306 is a `hidden beast` number, since 1 + 489 + 87 + 9 + 71 + 3 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 514555 + ... + 750161.

It is an arithmetic number, because the mean of its divisors is an integer number (4831731060).

Almost surely, 2148987971306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148987971306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173942318160).

148987971306 is an abundant number, since it is smaller than the sum of its proper divisors (198896665014).

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

148987971306 is a wasteful number, since it uses less digits than its factorization.

148987971306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235720 (or 235674 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 148987971306 in words is "one hundred forty-eight billion, nine hundred eighty-seven million, nine hundred seventy-one thousand, three hundred six".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 774 817 1634 1849 2451 3698 4902 5547 7353 11094 14706 16641 33282 35131 70262 105393 210786 235607 316179 471214 632358 706821 1413642 2120463 4240926 4476533 8953066 10131101 13429599 20262202 26859198 30393303 40288797 60786606 80577594 91179909 182359818 192490919 384981838 435637343 577472757 871274686 1154945514 1306912029 1732418271 2613824058 3464836542 3920736087 7841472174 8277109517 16554219034 24831328551 49662657102 74493985653 148987971306