Search a number
-
+
2380160508672 = 28370912833407
BaseRepresentation
bin100010101000101100100…
…111110010001100000000
322102112121110220122012210
4202220230213302030000
5302444032042234142
65021233004022120
7333650411340342
oct42505447621400
98375543818183
102380160508672
11838469613761
1232535ab31940
131435a9835c1b
14832b3bcd292
1541da7cb349c
hex22a2c9f2300

2380160508672 has 144 divisors (see below), whose sum is σ = 6350440481280. Its totient is φ = 791417942016.

The previous prime is 2380160508643. The next prime is 2380160508701. The reversal of 2380160508672 is 2768050610832.

It is an interprime number because it is at equal distance from previous prime (2380160508643) and next prime (2380160508701).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698607193 + ... + 698610599.

It is an arithmetic number, because the mean of its divisors is an integer number (44100281120).

Almost surely, 22380160508672 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 2380160508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175220240640).

2380160508672 is an abundant number, since it is smaller than the sum of its proper divisors (3970279972608).

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

2380160508672 is a wasteful number, since it uses less digits than its factorization.

2380160508672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 2380160508672 in words is "two trillion, three hundred eighty billion, one hundred sixty million, five hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 709 768 1283 1418 2127 2566 2836 3407 3849 4254 5132 5672 6814 7698 8508 10221 10264 11344 13628 15396 17016 20442 20528 22688 27256 30792 34032 40884 41056 45376 54512 61584 68064 81768 82112 90752 109024 123168 136128 163536 164224 181504 218048 246336 272256 327072 328448 436096 492672 544512 654144 872192 909647 985344 1308288 1819294 2415563 2616576 2728941 3638588 4371181 4831126 5457882 7246689 7277176 8742362 9662252 10915764 13113543 14493378 14554352 17484724 19324504 21831528 26227086 28986756 29108704 34969448 38649008 43663056 52454172 57973512 58217408 69938896 77298016 87326112 104908344 115947024 116434816 139877792 154596032 174652224 209816688 231894048 232869632 279755584 309192064 349304448 419633376 463788096 559511168 618384128 698608896 839266752 927576192 1119022336 1678533504 1855152384 3099167329 3357067008 6198334658 9297501987 12396669316 18595003974 24793338632 37190007948 49586677264 74380015896 99173354528 148760031792 198346709056 297520063584 396693418112 595040127168 793386836224 1190080254336 2380160508672