Search a number
-
+
1251932314164 = 2237113148189057
BaseRepresentation
bin10010001101111100111…
…110110001101000110100
311102200110022112000022120
4102031330332301220310
5131002424133023124
62355044010155540
7156310023042540
oct22157476615064
94380408460276
101251932314164
11442a3a1763a4
12182771722bb0
139109779369c
1444845734a20
1522874022d79
hex1237cfb1a34

1251932314164 has 96 divisors (see below), whose sum is σ = 3370342300416. Its totient is φ = 354286141440.

The previous prime is 1251932314111. The next prime is 1251932314187. The reversal of 1251932314164 is 4614132391521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14013124 + ... + 14102180.

It is an arithmetic number, because the mean of its divisors is an integer number (35107732296).

Almost surely, 21251932314164 is an apocalyptic number.

1251932314164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251932314164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685171150208).

1251932314164 is an abundant number, since it is smaller than the sum of its proper divisors (2118409986252).

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

1251932314164 is a wasteful number, since it uses less digits than its factorization.

1251932314164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90665 (or 90663 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The spelling of 1251932314164 in words is "one trillion, two hundred fifty-one billion, nine hundred thirty-two million, three hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1481 1582 2373 2962 3164 4443 4746 5924 8886 9492 10367 17772 20734 31101 41468 62202 89057 124404 167353 178114 267171 334706 356228 502059 534342 623399 669412 1004118 1068684 1171471 1246798 1870197 2008236 2342942 2493596 3514413 3740394 4685884 7028826 7480788 10063441 14057652 20126882 30190323 40253764 60380646 70444087 120761292 131893417 140888174 211332261 263786834 281776348 395680251 422664522 527573668 791360502 845329044 923253919 1582721004 1846507838 2769761757 3693015676 5539523514 11079047028 14903956121 29807912242 44711868363 59615824484 89423736726 104327692847 178847473452 208655385694 312983078541 417310771388 625966157082 1251932314164