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48691341312 = 211321793637
BaseRepresentation
bin101101010110001110…
…101110100000000000
311122200101100102101120
4231112032232200000
51244204440410222
634211332232240
73342421400205
oct552616564000
9148611312346
1048691341312
1119716aa1449
12952a76b680
13478c8c2883
1424dc9d7cac
1513eea4415c
hexb563ae800

48691341312 has 96 divisors (see below), whose sum is σ = 129907159200. Its totient is φ = 16218537984.

The previous prime is 48691341311. The next prime is 48691341313. The reversal of 48691341312 is 21314319684.

It is an interprime number because it is at equal distance from previous prime (48691341311) and next prime (48691341313).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (48691341311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13385958 + ... + 13389594.

It is an arithmetic number, because the mean of its divisors is an integer number (1353199575).

Almost surely, 248691341312 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 48691341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64953579600).

48691341312 is an abundant number, since it is smaller than the sum of its proper divisors (81215817888).

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

48691341312 is a wasteful number, since it uses less digits than its factorization.

48691341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5821 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The spelling of 48691341312 in words is "forty-eight billion, six hundred ninety-one million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2179 3072 3637 4358 6144 6537 7274 8716 10911 13074 14548 17432 21822 26148 29096 34864 43644 52296 58192 69728 87288 104592 116384 139456 174576 209184 232768 278912 349152 418368 465536 557824 698304 836736 931072 1115648 1396608 1673472 1862144 2231296 2793216 3346944 3724288 4462592 5586432 6693888 7448576 7925023 11172864 13387776 15850046 22345728 23775069 31700092 47550138 63400184 95100276 126800368 190200552 253600736 380401104 507201472 760802208 1014402944 1521604416 2028805888 3043208832 4057611776 6086417664 8115223552 12172835328 16230447104 24345670656 48691341312